Constraint-Following Approach for Platoon Control Strategy of Connected Autonomous Vehicles by Mengyan Hu, Ying Gao, Xiangmo Zhao, Bin Tian, Zhigang Xu

“…The current platoon control strategies of connected autonomous vehicles (CAVs) focus on controlling the fixed intervehicle distance, i.e., the string stability of the platoon system. …”
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GLOBALIZATION, POST-COLONIZING MIGRATION AND NEO-SLAVERY: THE SOCIO-POLITICAL IMPLICATIONS TO TWENTY-FIRST CENTURY AFRICAN STATES by Jonathan C. Madu

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Distributed Event-Triggered Output Synchronization of Complex-Valued Memristive Reaction-Diffusion Complex Networks with Spatial Sampled-Data by Tiane Chen, Zaihe Cheng

“…Third, the synchronization analysis is considered by utilizing an appropriate Lyapunov function, the Halanay inequality, and the improved Wirtinger inequality. Subsequently, several output event-triggered quasisynchronization criteria are derived. …”
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Blow-up solutions to the semilinear wave equation with overdamping term by Liu, Miaomiao, Guo, Bin

“…In addition, an inverse Hölder inequality associated with the solution and a differential inequality argument are used to establish a lower bound for the blow-up time.…”
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Atomic Decomposition of Weighted Lorentz Spaces and Operators by Eddy Kwessi, Geraldo de Souza, Fidele Ngwane, Asheber Abebe

“…Consequently, we study operators such as the multiplication and composition operators and also provide Hölder’s-type and duality-Riesz type inequalities on these weighted Lorentz spaces.…”
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Coincidence theorems for nonlinear hybrid contractions by Y. J. Cho, B. Fisher, G. S. Genga

“…In this paper, we give some common fixed point theorems for single-valued mappings and multi-valued mappings satisfying a rational inequality. Our theorems generalize some results of B. …”
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Almost Sure and Lp Convergence of Split-Step Backward Euler Method for Stochastic Delay Differential Equation by Qian Guo, Xueyin Tao

“…Almost sure convergence is derived from the Lp convergence by Chebyshev’s inequality and the Borel-Cantelli lemma; meanwhile, the convergence rate is obtained.…”
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Global Existence and Asymptotic Behavior of Solutions for a Class of Nonlinear Degenerate Wave Equations by Yaojun Ye

“…This paper studies the existence of global solutions to the initial-boundary value problem for some nonlinear degenerate wave equations by means of compactness method and the potential well idea. Meanwhile, we investigate the decay estimate of the energy of the global solutions to this problem by using a difference inequality.…”
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Stable determination of the nonlinear term in a quasilinear elliptic equation by boundary measurements by Choulli, Mourad

“…We establish a Lipschitz stability inequality for the problem of determining the nonlinear term in a quasilinear elliptic equation by boundary measurements. …”
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Boundedness of the Solutions to Certain Delay Dynamic Integrodifferential Systems on Time Scales by Min Fan, Yazhou Tian

“…In this paper, the bounds on the solutions of certain delay dynamic integrodifferential systems on time scales are considered. Based on a new Gronwall-Bellman type delay integral inequality, we can estimate the boundedness of solutions to integrodifferential systems. …”
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Interval Oscillation Theorems for the Weighted p-Sub-Laplacian Equation in the Heisenberg Group by Duan Wu, Pengcheng Niu

“…In this paper, we derive a Riccati-type inequality in the Heisenberg group Hn. Based on it, some oscillation criteria are established for the weighted p-sub-Laplacian equations in Hn. …”
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Damped Algorithms for the Split Fixed Point and Equilibrium Problems by Li-Jun Zhu, Minglun Ren

“…The main purpose of this paper is to study the split fixed point and equilibrium problems which includes fixed point problems, equilibrium problems, and variational inequality problems as special cases. A damped algorithm is presented for solving this split common problem. …”
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Argument Property for Certain Analytic Functions by Qing Yang, Jin-Lin Liu

“…The object of the present paper is to derive certain argument inequalities of analytic functions p(z) in P.…”
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Two Fixed-Point Theorems for Mappings Satisfying a General Contractive Condition of Integral Type in the Modular Space by Maryam Beygmohammadi, Abdolrahman Razani

“…First we prove existence of a fixed point for mappings defined on a complete modular space satisfying a general contractive inequality of integral type. Then we generalize fixed-point theorem for a quasicontraction mapping given by Khamsi (2008) and Ciric (1974).…”
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Existence of C1-Positive Solutions for a Class of Second-Order Impulsive Differential Equations by Hong Li

“…In this study, under some inequality conditions, necessary and sufficient conditions, using fixed-point theorem in cones, are established for the existence of C1-positive solutions for a class of second-order impulsive differential equations. …”
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An inverse problem for a hyperbolic system in a bounded domain by Cardoulis, Laure

“…In this Note we consider a two-by-two hyperbolic system defined on a bounded domain. Using Carleman inequalities, we obtain a Lipschitz stability result for the four spatially varying coefficients with measurements of only one component, given two sets of initial conditions.…”
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Age-of-infection and the final size relation by Fred Brauer

“…We establish the final size equation for a general age-of-infection epidemic model in a new simpler form if there are no disease deaths(total population size remains constant). …”
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Norm-Constrained Least-Squares Solutions to the Matrix Equation AXB=C by An-bao Xu, Zhenyun Peng

“…An iterative method to compute the least-squares solutions of the matrix AXB=C over the norm inequality constraint is proposed. …”
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Projection Algorithms for Variational Inclusions by Youli Yu, Pei-Xia Yang, Khalida Inayat Noor

“…Furthermore, we prove that the proposed iterative algorithm converges strongly to a solution of the variational inclusion problem which also solves some variational inequality.…”
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On the quasiuniqueness of solutions of degenerate equations in Hilbert space by Vladimir Schuchman

“…The case of inequalities is studied, too.…”
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